What is the Least Common Multiple of 62482 and 62493?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 62482 and 62493 is 3904687626.
LCM(62482,62493) = 3904687626
Least Common Multiple of 62482 and 62493 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62482 and 62493, than apply into the LCM equation.
GCF(62482,62493) = 1
LCM(62482,62493) = ( 62482 × 62493) / 1
LCM(62482,62493) = 3904687626 / 1
LCM(62482,62493) = 3904687626
Least Common Multiple (LCM) of 62482 and 62493 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62482 and 62493. First we will calculate the prime factors of 62482 and 62493.
Prime Factorization of 62482
Prime factors of 62482 are 2, 7, 4463. Prime factorization of 62482 in exponential form is:
62482 = 21 × 71 × 44631
Prime Factorization of 62493
Prime factors of 62493 are 3, 37, 563. Prime factorization of 62493 in exponential form is:
62493 = 31 × 371 × 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 62482 and 62493.
LCM(62482,62493) = 21 × 71 × 44631 × 31 × 371 × 5631
LCM(62482,62493) = 3904687626
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